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Young's modulus, bulk modulus and modulus of rigidity MCQs for JEE

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Master Young's modulus, bulk modulus and modulus of rigidity through exam-style multiple-choice questions. This page features 9+ JEE MCQs covering Young's modulus, bulk modulus and modulus of rigidity, each with verified answers and clear explanations.

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Q1PhysicsUnit 7: Properties of Solids and Liquids
Steel wire of length ' LL ' at 40C40^{\circ} \mathrm{C} is suspended from the ceiling and then a mass ' mm^{\prime} is hung from its free end. The wire is cooled down from 40C40^{\circ} C to 30C30^{\circ} C to regain its original length L.^{\prime} L^{\prime} . The coefficient of linear thermal expansion of the steel is 105/C,10^{-5} /^{\circ} C, Young's modulus of steel is 1011N/m210^{11} N / m^{2} and radius of the wire is 1mm1 \mathrm{mm}. Assume that L>>L>> diameter of the wire. Then the value of ' mm ' in kg is nearly
Q2PhysicsUnit 7: Properties of Solids and Liquids
Y,k,n\boldsymbol{Y}, \boldsymbol{k}, \boldsymbol{n} represent respectively the young's modulus,bulk modulus and rigidity modulus of a body. If rigidity modulus is twice the bulk modulus, then:
Q3PhysicsUnit 7: Properties of Solids and Liquids
(i) For a Searle's experiment, in the graph shown, there are two readings a and b that are not lying on the straight line (ii) Experiment is not performed precisely
Q4PhysicsUnit 7: Properties of Solids and Liquids
A 5m5 \mathrm{m} long aluminium wire (Y=7×(\boldsymbol{Y}=\mathbf{7} \times 1010Nm2)\left.10^{10} N m^{-2}\right) of diameter 3mm3 \mathrm{mm} supports a 40kg40 \mathrm{kg} mass. In order to have the same elongation in the copper wire (Y=(\boldsymbol{Y}= 12×1010Nm2)\left.12 \times 10^{10} N m^{-2}\right) of the same length under the same weight, the diameter should now be (in mm\mathrm{mm} ).
Q5PhysicsUnit 7: Properties of Solids and Liquids
Speed of sound waves in fluid is
Q6PhysicsUnit 7: Properties of Solids and Liquids
The radii and Young's moduli of two uniform wires AA and BB are in the ratio 2: 1 and 1: 2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire AA is one percent, the percentage increase in length of the wire BB is:
Q7PhysicsUnit 7: Properties of Solids and Liquids
If Young modulus is three times of modulus of rigidity, then Poisson ratio is equal to:
Q8PhysicsUnit 7: Properties of Solids and Liquids
A metal cube of side 10cm10 \mathrm{cm} is subjected to a shearing stress of 104Nm210^{4} N m^{-2}. The modulus of rigidity if the top of the cube is displaced by 0.05cm0.05 \mathrm{cm} with respect to its bottom is

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